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Finding the Fourth Proportional to 157,392.30, 217,203.75 and 85,772.10

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Solution

The fourth proportional to 157,392.30, 217,203.75 and 85,772.10 is: 118,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,392.30 : 217,203.75 = 85,772.10 : x
  2. Step 2: Convert to fraction form
    157,392.30/217,203.75 = 85,772.10/x
  3. Step 3: Cross multiply
    157,392.30x = 217,203.75 × 85,772.10
  4. Step 4: Simplify right side
    157,392.30x = 18,630,021,765.38
  5. Step 5: Solve for x
    x = 18,630,021,765.38/157,392.30
  6. Step 6: Final answer
    x = 118,366.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.